International Electronic Journal of Mathematics Education

On Conditional Probability Problem Solving Research – Structures and Contexts
  • Article Type: Research Article
  • International Electronic Journal of Mathematics Education, 2009 - Volume 4 Issue 3, pp. 163-194
  • Published Online: 12 Dec 2009
  • Article Views: 542 | Article Download: 578
  • Open Access Full Text (PDF)
AMA 10th edition
In-text citation: (1), (2), (3), etc.
Reference: Huerta MP. On Conditional Probability Problem Solving Research – Structures and Contexts. Int Elect J Math Ed. 2009;4(3), 163-194.
APA 6th edition
In-text citation: (Huerta, 2009)
Reference: Huerta, M. P. (2009). On Conditional Probability Problem Solving Research – Structures and Contexts. International Electronic Journal of Mathematics Education, 4(3), 163-194.
Chicago
In-text citation: (Huerta, 2009)
Reference: Huerta, M. Pedro. "On Conditional Probability Problem Solving Research – Structures and Contexts". International Electronic Journal of Mathematics Education 2009 4 no. 3 (2009): 163-194.
Harvard
In-text citation: (Huerta, 2009)
Reference: Huerta, M. P. (2009). On Conditional Probability Problem Solving Research – Structures and Contexts. International Electronic Journal of Mathematics Education, 4(3), pp. 163-194.
MLA
In-text citation: (Huerta, 2009)
Reference: Huerta, M. Pedro "On Conditional Probability Problem Solving Research – Structures and Contexts". International Electronic Journal of Mathematics Education, vol. 4, no. 3, 2009, pp. 163-194.
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Huerta MP. On Conditional Probability Problem Solving Research – Structures and Contexts. Int Elect J Math Ed. 2009;4(3):163-94.

Abstract

In this paper we summarize the research we have recently carried out on classifying problems of conditional probability. We investigate a particular world of school word problems we call ternary problems of conditional probability. With the help of a mathematical object, the trinomial graph, and the analysis and synthesis method, we propose a framework for a structural, didactical and phenomenological analysis of the ternary problems of conditional probability. Consequently, we have organized this world into several types of problems. With respect to students’ behaviour, we identify four types of thinking processes related to data format and the use of data. We also illustrate our approach by use of the diagnostic test situation, and in the particular context of health. The main purpose of our work is to improve secondary school students’ understanding of conditional probability and their probability literacy by proposing a teaching approach based on problem solving within appropriate contexts. We believe that the framework we present in this paper could help teachers and researchers in this purpose.

References

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License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.